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Finding the Third Proportional to 796.63 and 1,215.19

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Solution

The third proportional to 796.63 and 1,215.19 is: 1,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.63 : 1,215.19 = 1,215.19 : x
  2. Step 2: Convert to fraction form
    796.63/1,215.19 = 1,215.19/x
  3. Step 3: Cross multiply
    796.63x = 1,215.19 × 1,215.19
  4. Step 4: Simplify right side
    796.63x = 1,476,680.66
  5. Step 5: Solve for x
    x = 1,476,680.66/796.63
  6. Step 6: Final answer
    x = 1,853.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.